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Finding the Fourth Proportional to 366.60, 506.10 and 319.62

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Solution

The fourth proportional to 366.60, 506.10 and 319.62 is: 441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.60 : 506.10 = 319.62 : x
  2. Step 2: Convert to fraction form
    366.60/506.10 = 319.62/x
  3. Step 3: Cross multiply
    366.60x = 506.10 × 319.62
  4. Step 4: Simplify right side
    366.60x = 161,759.68
  5. Step 5: Solve for x
    x = 161,759.68/366.60
  6. Step 6: Final answer
    x = 441.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.